Algebra 1 Word problem solve in Elimination

Question

The cheerleaders had a car wash last month. They charged $2 for cars and $4 for SUVs. By noon, they had washed 10 automobiles and had made $32.

Answer 1

2C+4S=32

divide by 2 to get

C+2S = 16

C+S = 10 automobiles, subtract to get

0 +S = 6 = 6 SUVs

C =10-6= 4 cars

Answer 2

2c + 4s = 32

c + s = 10

Multiply the bottom equation by (-2) in order to cancel out the c variable:

-2(c + s =10)

You should get:

-2c -2s = -20

Next:

Line up the equations

2c + 4s = 32

-2c -2s = -20

The 2c cancel each other out and you are only left with the s variable

You should then be left with 2s = 12

Solve for s to get s = 6

Plug this back into either original equation to get the c value

Answer:

s = 6

c = 4

Answer 3

So you the easiest method would be using a trial and error. So I started with 5 SUVs and 5 cars and then adjusted from there. This is what I found that would work correctly.

4 car = $8

6 suvs = $24

$24 + $8 = $32 total.

Hope that helps. :)

Answer 4

2c+4s=32

c+s=10

c=4

s=6